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Finding the Fourth Proportional to 276,360.44, 414,540.66 and 76,680.86

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Solution

The fourth proportional to 276,360.44, 414,540.66 and 76,680.86 is: 115,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,360.44 : 414,540.66 = 76,680.86 : x
  2. Step 2: Convert to fraction form
    276,360.44/414,540.66 = 76,680.86/x
  3. Step 3: Cross multiply
    276,360.44x = 414,540.66 × 76,680.86
  4. Step 4: Simplify right side
    276,360.44x = 31,787,334,313.77
  5. Step 5: Solve for x
    x = 31,787,334,313.77/276,360.44
  6. Step 6: Final answer
    x = 115,021.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.